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Finding the Third Proportional to 3,868,290,740 and 5,806,530,416

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Solution

The third proportional to 3,868,290,740 and 5,806,530,416 is: 8,715,941,416.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868,290,740 : 5,806,530,416 = 5,806,530,416 : x
  2. Step 2: Convert to fraction form
    3,868,290,740/5,806,530,416 = 5,806,530,416/x
  3. Step 3: Cross multiply
    3,868,290,740x = 5,806,530,416 × 5,806,530,416
  4. Step 4: Simplify right side
    3,868,290,740x = 33,715,795,471,933,132,800
  5. Step 5: Solve for x
    x = 33,715,795,471,933,132,800/3,868,290,740
  6. Step 6: Final answer
    x = 8,715,941,416.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.